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BicubicSplineInterpolatingFunction (Commons Math 3.2 API)
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org.apache.commons.math3.analysis.interpolation</FONT>
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Class BicubicSplineInterpolatingFunction</H2>
<PRE>
<A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</A>
  <IMG SRC="../../../../../../resources/inherit.gif" ALT="extended by "><B>org.apache.commons.math3.analysis.interpolation.BicubicSplineInterpolatingFunction</B>
</PRE>
<DL>
<DT><B>All Implemented Interfaces:</B> <DD><A HREF="../../../../../../org/apache/commons/math3/analysis/BivariateFunction.html" title="interface in org.apache.commons.math3.analysis">BivariateFunction</A></DD>
</DL>
<HR>
<DL>
<DT><PRE>public class <B>BicubicSplineInterpolatingFunction</B><DT>extends <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A><DT>implements <A HREF="../../../../../../org/apache/commons/math3/analysis/BivariateFunction.html" title="interface in org.apache.commons.math3.analysis">BivariateFunction</A></DL>
</PRE>

<P>
Function that implements the
 <a href="http://en.wikipedia.org/wiki/Bicubic_interpolation">
 bicubic spline interpolation</a>.
<P>

<P>
<DL>
<DT><B>Since:</B></DT>
  <DD>2.1</DD>
<DT><B>Version:</B></DT>
  <DD>$Id: BicubicSplineInterpolatingFunction.java 1379904 2012-09-01 23:54:52Z erans $</DD>
</DL>
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<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/analysis/interpolation/BicubicSplineInterpolatingFunction.html#BicubicSplineInterpolatingFunction(double[], double[], double[][], double[][], double[][], double[][])">BicubicSplineInterpolatingFunction</A></B>(double[]&nbsp;x,
                                   double[]&nbsp;y,
                                   double[][]&nbsp;f,
                                   double[][]&nbsp;dFdX,
                                   double[][]&nbsp;dFdY,
                                   double[][]&nbsp;d2FdXdY)</CODE>

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<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/analysis/interpolation/BicubicSplineInterpolatingFunction.html#partialDerivativeX(double, double)">partialDerivativeX</A></B>(double&nbsp;x,
                   double&nbsp;y)</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/analysis/interpolation/BicubicSplineInterpolatingFunction.html#partialDerivativeXX(double, double)">partialDerivativeXX</A></B>(double&nbsp;x,
                    double&nbsp;y)</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/analysis/interpolation/BicubicSplineInterpolatingFunction.html#partialDerivativeXY(double, double)">partialDerivativeXY</A></B>(double&nbsp;x,
                    double&nbsp;y)</CODE>

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<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/analysis/interpolation/BicubicSplineInterpolatingFunction.html#partialDerivativeY(double, double)">partialDerivativeY</A></B>(double&nbsp;x,
                   double&nbsp;y)</CODE>

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<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/analysis/interpolation/BicubicSplineInterpolatingFunction.html#partialDerivativeYY(double, double)">partialDerivativeYY</A></B>(double&nbsp;x,
                    double&nbsp;y)</CODE>

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<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../org/apache/commons/math3/analysis/interpolation/BicubicSplineInterpolatingFunction.html#value(double, double)">value</A></B>(double&nbsp;x,
      double&nbsp;y)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Compute the value for the function.</TD>
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<A NAME="BicubicSplineInterpolatingFunction(double[], double[], double[][], double[][], double[][], double[][])"><!-- --></A><H3>
BicubicSplineInterpolatingFunction</H3>
<PRE>
public <B>BicubicSplineInterpolatingFunction</B>(double[]&nbsp;x,
                                          double[]&nbsp;y,
                                          double[][]&nbsp;f,
                                          double[][]&nbsp;dFdX,
                                          double[][]&nbsp;dFdY,
                                          double[][]&nbsp;d2FdXdY)
                                   throws <A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A>,
                                          <A HREF="../../../../../../org/apache/commons/math3/exception/NoDataException.html" title="class in org.apache.commons.math3.exception">NoDataException</A>,
                                          <A HREF="../../../../../../org/apache/commons/math3/exception/NonMonotonicSequenceException.html" title="class in org.apache.commons.math3.exception">NonMonotonicSequenceException</A></PRE>
<DL>
<DL>
<DT><B>Parameters:</B><DD><CODE>x</CODE> - Sample values of the x-coordinate, in increasing order.<DD><CODE>y</CODE> - Sample values of the y-coordinate, in increasing order.<DD><CODE>f</CODE> - Values of the function on every grid point.<DD><CODE>dFdX</CODE> - Values of the partial derivative of function with respect
 to x on every grid point.<DD><CODE>dFdY</CODE> - Values of the partial derivative of function with respect
 to y on every grid point.<DD><CODE>d2FdXdY</CODE> - Values of the cross partial derivative of function on
 every grid point.
<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE> - if the various arrays do not contain
 the expected number of elements.
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NonMonotonicSequenceException.html" title="class in org.apache.commons.math3.exception">NonMonotonicSequenceException</A></CODE> - if <code>x</code> or <code>y</code> are
 not strictly increasing.
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/NoDataException.html" title="class in org.apache.commons.math3.exception">NoDataException</A></CODE> - if any of the arrays has zero length.</DL>
</DL>

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<A NAME="value(double, double)"><!-- --></A><H3>
value</H3>
<PRE>
public double <B>value</B>(double&nbsp;x,
                    double&nbsp;y)
             throws <A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A></PRE>
<DL>
<DD>Compute the value for the function.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../../../org/apache/commons/math3/analysis/BivariateFunction.html#value(double, double)">value</A></CODE> in interface <CODE><A HREF="../../../../../../org/apache/commons/math3/analysis/BivariateFunction.html" title="interface in org.apache.commons.math3.analysis">BivariateFunction</A></CODE></DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>x</CODE> - Abscissa for which the function value should be computed.<DD><CODE>y</CODE> - Ordinate for which the function value should be computed.
<DT><B>Returns:</B><DD>the value.
<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A></CODE></DL>
</DD>
</DL>
<HR>

<A NAME="partialDerivativeX(double, double)"><!-- --></A><H3>
partialDerivativeX</H3>
<PRE>
public double <B>partialDerivativeX</B>(double&nbsp;x,
                                 double&nbsp;y)
                          throws <A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A></PRE>
<DL>
<DD><DL>
</DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>x</CODE> - x-coordinate.<DD><CODE>y</CODE> - y-coordinate.
<DT><B>Returns:</B><DD>the value at point (x, y) of the first partial derivative with
 respect to x.
<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A></CODE> - if <code>x</code> (resp. <code>y</code>) is outside
 the range defined by the boundary values of <code>xval</code> (resp.
 <code>yval</code>).</DL>
</DD>
</DL>
<HR>

<A NAME="partialDerivativeY(double, double)"><!-- --></A><H3>
partialDerivativeY</H3>
<PRE>
public double <B>partialDerivativeY</B>(double&nbsp;x,
                                 double&nbsp;y)
                          throws <A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A></PRE>
<DL>
<DD><DL>
</DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>x</CODE> - x-coordinate.<DD><CODE>y</CODE> - y-coordinate.
<DT><B>Returns:</B><DD>the value at point (x, y) of the first partial derivative with
 respect to y.
<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A></CODE> - if <code>x</code> (resp. <code>y</code>) is outside
 the range defined by the boundary values of <code>xval</code> (resp.
 <code>yval</code>).</DL>
</DD>
</DL>
<HR>

<A NAME="partialDerivativeXX(double, double)"><!-- --></A><H3>
partialDerivativeXX</H3>
<PRE>
public double <B>partialDerivativeXX</B>(double&nbsp;x,
                                  double&nbsp;y)
                           throws <A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A></PRE>
<DL>
<DD><DL>
</DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>x</CODE> - x-coordinate.<DD><CODE>y</CODE> - y-coordinate.
<DT><B>Returns:</B><DD>the value at point (x, y) of the second partial derivative with
 respect to x.
<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A></CODE> - if <code>x</code> (resp. <code>y</code>) is outside
 the range defined by the boundary values of <code>xval</code> (resp.
 <code>yval</code>).</DL>
</DD>
</DL>
<HR>

<A NAME="partialDerivativeYY(double, double)"><!-- --></A><H3>
partialDerivativeYY</H3>
<PRE>
public double <B>partialDerivativeYY</B>(double&nbsp;x,
                                  double&nbsp;y)
                           throws <A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A></PRE>
<DL>
<DD><DL>
</DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>x</CODE> - x-coordinate.<DD><CODE>y</CODE> - y-coordinate.
<DT><B>Returns:</B><DD>the value at point (x, y) of the second partial derivative with
 respect to y.
<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A></CODE> - if <code>x</code> (resp. <code>y</code>) is outside
 the range defined by the boundary values of <code>xval</code> (resp.
 <code>yval</code>).</DL>
</DD>
</DL>
<HR>

<A NAME="partialDerivativeXY(double, double)"><!-- --></A><H3>
partialDerivativeXY</H3>
<PRE>
public double <B>partialDerivativeXY</B>(double&nbsp;x,
                                  double&nbsp;y)
                           throws <A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A></PRE>
<DL>
<DD><DL>
</DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>x</CODE> - x-coordinate.<DD><CODE>y</CODE> - y-coordinate.
<DT><B>Returns:</B><DD>the value at point (x, y) of the second partial cross-derivative.
<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</A></CODE> - if <code>x</code> (resp. <code>y</code>) is outside
 the range defined by the boundary values of <code>xval</code> (resp.
 <code>yval</code>).</DL>
</DD>
</DL>
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